%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:08 AM UTC 2026
% Result : Unsatisfiable 0.37s 0.44s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f23,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f24,plain,
multiplicative_identity != inverse(additive_identity),
inference(reorient_equations,[],[f23]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f45,plain,
multiplicative_identity = inverse(additive_identity),
inference(resolution,[],[f37,f18]) ).
fof(f48,plain,
$false,
inference(forward_subsumption_resolution,[],[f45,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.32 % Computer : n002.cluster.edu
% 0.28/0.32 % Model : x86_64 x86_64
% 0.28/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.32 % Memory : 8046.5625MB
% 0.28/0.32 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Mon Sep 28 21:06:22 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.38 Running first-order model finding
% 0.28/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.44 % (760669)Will run a generic schedule for satisfiability detection.
% 0.37/0.44 % (760679)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1957298253:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.44 % (760679) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-760669-760679"...
% 0.37/0.44 % (760679)...printing done.
% 0.37/0.44 % (760679)Refutation found. Thanks to Tanya!
% 0.37/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.44 % (760679)------------------------------
% 0.37/0.44 % (760679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (760679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (760679)CaDiCaL version: 2.1.3
% 0.37/0.44 % (760679)Termination reason: Refutation
% 0.37/0.44 % (760679)Time elapsed: 0.002 s
% 0.37/0.44 % (760679)Peak memory usage: 11 MB
% 0.37/0.44 % (760679)Instructions burned: 1 (million)
% 0.37/0.44 % (760669)Success in time 0.045 s
% 0.37/0.44 % Vampire exiting
%------------------------------------------------------------------------------